We show that thermal aberration in optically pumped solid-state lasers
can lead to the breakup of the beam profile. Kerr lensing present in
the self-mode-locked regime tends to reduce the beam size in the laser
material; such a beam is less sensitive to the thermal aberration, an
d its shape becomes free of secondary lobes. The thermal aberration ha
s also the effect of moving the optimal operation point for self-mode
locking. Experimental results obtained with a Ti:sapphire laser suppor
t our theoretical results.